Homework SourseWhich of the following sets of vectors are subspaces of R3 a
Which of the following sets of vectors are subspaces of R^3? [a b 1] [a b a + 2b] [a 0 0] (I) only (II) only (III) only (I) and (III) (II) and (III)![Which of the following sets of vectors are subspaces of R^3? [a b 1] [a b a + 2b] [a 0 0] (I) only (II) only (III) only (I) and (III) (II) and (III)Solution) 0](/WebImages/11/which-of-the-following-sets-of-vectors-are-subspaces-of-r3-a-1005902-1761518544-0.webp "Which of the following sets of vectors are subspaces of R^3? [a b 1] [a b a + 2b] [a 0 0] (I) only (II) only (III) only (I) and (III) (II) and (III)Solution) 0")
Solution
) 00 is there
2) Closed by addition of vectors
3) Closed by multiplication of real-valued scalar
The answers I have are:
a) No
b) Yes
c) Yes
d) No
